What is the Least Common Multiple of 39704 and 39709?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 39704 and 39709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39704 and 39709, than apply into the LCM equation.

GCF(39704,39709) = 1
LCM(39704,39709) = ( 39704 × 39709) / 1
LCM(39704,39709) = 1576606136 / 1
LCM(39704,39709) = 1576606136

Least Common Multiple (LCM) of 39704 and 39709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39704 and 39709. First we will calculate the prime factors of 39704 and 39709.

Prime Factorization of 39704

Prime Factorization of 39709

Now multiplying the highest exponent prime factors to calculate the LCM of 39704 and 39709.

LCM(39704,39709) = 2³ × 7¹ × 709¹ × 39709¹
LCM(39704,39709) = 1576606136